The slope of the function is;
[tex]\text{Slope}=\text{ }\frac{q_2-q_1}{p_2-p_1}=\frac{-28--14}{4-2}=\frac{-28+14}{2}=-\frac{14}{2}=-7[/tex]The rule that defined the function is;
[tex]\begin{gathered} q-q_1=slope(p-p_1) \\ q--14=-7(p-2) \\ q+14=-7p+14 \\ q=-7p\text{ (option A)} \end{gathered}[/tex]